Effects of Variable-Order Passive Circuit Element in Chua Circuit

Abstract

In this paper, the behaviour of a variable-order passive circuit element which is used in Chua chaotic circuit is analysed. Firstly, the behaviour of a circuit with a variable-order memristor is presented. In the generalized Ohm's law for a memory element, the order of a passive circuit element is defined as a kind of the element, so the circuit shows unusual behaviour. Finally, the chaotic circuit is designed with a variable-order memristor, and the effect of the variable-order element is shown in the Chua circuit. The chaotic circuit model with the novel memristor shows limit-cycle behaviour.